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If R Is the Region Bounded By y=4x2,y=x,y=xy = \sqrt { 4 - x ^ { 2 } } , y = x , y = - x

Question 43

Multiple Choice

If R is the region bounded by y=4x2,y=x,y=xy = \sqrt { 4 - x ^ { 2 } } , y = x , y = - x then \iint R (x2+y2) dA\left( x ^ { 2 } + y ^ { 2 } \right) d A in polar form is


A) π23π2[02r3dr]dθ\int _ { \frac { \pi } { 2 } } ^ { \frac { 3 \pi } { 2 } } \left[ \int _ { 0 } ^ { 2 } r ^ { 3 } d r \right] d \theta
B) π43π2[02r3dr]dθ\int _ { - \frac { \pi } { 4 } } ^ { \frac { 3 \pi } { 2 } } \left[ \int _ { 0 } ^ { 2 } r ^ { 3 } d r \right] d \theta
C) π43π2[02r3dr]dθ\int _ { \frac { \pi } { 4 } } ^ { \frac { 3 \pi } { 2 } } \left[ \int _ { 0 } ^ { 2 } r ^ { 3 } d r \right] d \theta
D) π43π4[02r3dr]dθ\int _ { - \frac { \pi } { 4 } } ^ { \frac { 3 \pi } { 4 } } \left[ \int _ { 0 } ^ { 2 } r ^ { 3 } d r \right] d \theta
E) π43π4[02r3dr]dθ\int _ { \frac { \pi } { 4 } } ^ { \frac { 3 \pi } { 4 } } \left[ \int _ { 0 } ^ { 2 } r ^ { 3 } d r \right] d \theta

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